The value of mathop {lim }limits_{theta to 0} | vedclass

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(B) We know the standard limit formula $\mathop {\lim }\limits_{x 	o 0} \frac{\sin(ax)}{x} = a$. Applying this to the given expression: $\mathop {\li

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$1/4$

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(B) We know the standard limit formula $\mathop {\lim }\limits_{x 	o 0} \frac{\sin(ax)}{x} = a$. Applying this to the given expression: $\mathop {\lim }\limits_{	heta 	o 0} \frac{\sin(	heta/4)}{	heta} = \mathop {\lim }\limits_{	heta 	o 0} \frac{1}{4} \cdot \frac{\sin(	heta/4)}{	heta/4}$. Since $\mathop {\lim }\limits_{u 	o 0} \frac{\sin(u)}{u} = 1$ where $u = 	heta/4$,The expression becomes $\frac{1}{4} \cdot 1 = \frac{1}{4}$.

The value of $\mathop {\lim }\limits_{\theta \to 0} \left( \frac{\sin(\theta/4)}{\theta} \right)$ is

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